Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = \boxed{} miles

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \( c^{2}=a^{2}+b^{2} \), where \( a = 5.4 \), \( b = 3.1 \).
\( c^{2}=5.4^{2}+3.1^{2} \)
\( c^{2}=29.16 + 9.61 \)
\( c^{2}=38.77 \)

Step2: Solve for c

Take the square root of both sides: \( c=\sqrt{38.77} \approx 6.2 \)

Answer:

6.2